What is 2te^{-3t}sin(4t) ?

The solution to 2te^{-3t}sin(4t) is (2tsin(4t))/(e^{3t)}

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simplify 2te^{-3t}sin(4t)

simplify

2 t e^{- 3 t} sin (4 t)

\frac{2 t sin ( 4 t )}{e ^{3 t}}

Solution steps

2 t e^{- 3 t} sin (4 t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 2 \cdot \frac{1}{e ^{3 t}} t sin (4 t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2 t sin ( 4 t )}{e ^{3 t}}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 t sin ( 4 t )}{e ^{3 t}}

(27) (47)

e^{t^{2}} (e^{- t^{2}})

e^{- (- \frac{1}{2})^{2}}

x^{2} (1 - \frac{e ^{c}}{x})^{2}

(3 t^{2}) (5 t^{7})

What is 2te^{-3t}sin(4t) ?
The solution to 2te^{-3t}sin(4t) is (2tsin(4t))/(e^{3t)}